{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "from tsmoothie.utils_func import sim_randomwalk\n",
    "from tsmoothie.smoother import *"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# generate randomwalks\n",
    "np.random.seed(33)\n",
    "\n",
    "data = sim_randomwalk(n_series=10, timesteps=200, \n",
    "                      process_noise=10, measure_noise=30)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# operate smoothing\n",
    "smoother = ExponentialSmoother(window_len=20, alpha=0.3)\n",
    "smoother.smooth(data)\n",
    "\n",
    "# generate intervals\n",
    "low, up = smoother.get_intervals('sigma_interval')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PolyCollection at 0x1fc29692148>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot the first smoothed timeseries with intervals\n",
    "plt.plot(smoother.smooth_data[0], linewidth=3, color='blue')\n",
    "plt.plot(smoother.data[0], '.k')\n",
    "plt.xlabel('time')\n",
    "\n",
    "plt.fill_between(range(len(smoother.data[0])), low[0], up[0], alpha=0.3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "# operate smoothing\n",
    "smoother = ConvolutionSmoother(window_len=20, window_type='ones')\n",
    "smoother.smooth(data)\n",
    "\n",
    "# generate intervals\n",
    "low, up = smoother.get_intervals('sigma_interval')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PolyCollection at 0x1fc29762148>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot the first smoothed timeseries with intervals\n",
    "plt.plot(smoother.smooth_data[0], linewidth=3, color='blue')\n",
    "plt.plot(smoother.data[0], '.k')\n",
    "plt.xlabel('time')\n",
    "\n",
    "plt.fill_between(range(len(smoother.data[0])), low[0], up[0], alpha=0.3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "# operate smoothing\n",
    "smoother = SpectralSmoother(smooth_fraction=0.2, pad_len=20)\n",
    "smoother.smooth(data)\n",
    "\n",
    "# generate intervals\n",
    "low, up = smoother.get_intervals('sigma_interval')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PolyCollection at 0x1fc297e7f48>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot the first smoothed timeseries with intervals\n",
    "plt.plot(smoother.smooth_data[0], linewidth=3, color='blue')\n",
    "plt.plot(smoother.data[0], '.k')\n",
    "plt.xlabel('time')\n",
    "\n",
    "plt.fill_between(range(len(smoother.data[0])), low[0], up[0], alpha=0.3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "# operate smoothing\n",
    "smoother = PolynomialSmoother(degree=6)\n",
    "smoother.smooth(data)\n",
    "\n",
    "# generate intervals\n",
    "low, up = smoother.get_intervals('prediction_interval')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PolyCollection at 0x1fc27865388>"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot the first smoothed timeseries with intervals\n",
    "plt.plot(smoother.smooth_data[0], linewidth=3, color='blue')\n",
    "plt.plot(smoother.data[0], '.k')\n",
    "plt.xlabel('time')\n",
    "\n",
    "plt.fill_between(range(len(smoother.data[0])), low[0], up[0], alpha=0.3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "# operate smoothing\n",
    "smoother = SplineSmoother(n_knots=6, spline_type='natural_cubic_spline')\n",
    "smoother.smooth(data)\n",
    "\n",
    "# generate intervals\n",
    "low, up = smoother.get_intervals('prediction_interval')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PolyCollection at 0x1fc29d38b88>"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot the first smoothed timeseries with intervals\n",
    "plt.plot(smoother.smooth_data[0], linewidth=3, color='blue')\n",
    "plt.plot(smoother.data[0], '.k')\n",
    "plt.xlabel('time')\n",
    "\n",
    "plt.fill_between(range(len(smoother.data[0])), low[0], up[0], alpha=0.3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "# operate smoothing\n",
    "smoother = GaussianSmoother(n_knots=6, sigma=0.1)\n",
    "smoother.smooth(data)\n",
    "\n",
    "# generate intervals\n",
    "low, up = smoother.get_intervals('prediction_interval')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PolyCollection at 0x1fc2ad835c8>"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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6LzbGDMhhaGFqR3rUu318XVFLvTs1InpiSbA51Xb+lUws5fhTz+LdV59HSomuaeiafyEQBgOTph3FuZddHZN54fJqfLvPoRoE9VJ6hfB//7UMPnizJQ5z1tWOZsHfmabdlWbXJKylbKzmqOtomocTz/gva1YcwY9b/GafJ+/L4dzLjuaep1/j6/KOF5N4loiQEr7d66De42NM/5yULAa3p7aBLXsdaCnUcjHWBM6pjubfsaecyZJ3FuP1etsVi4uV4G9ij81Fv5y0XpEcqGhNjxf+32yGR+9qcWwd+38NnPEHfxGwaDXtwNaPUm/Zkv9kRhm//ZOVuZfmN+82Fj2Wjcs5nQuvKu0wMzheRecCqahpoM7lY9yQvJRpCO/VdL7d60haqYZk0Xb+LXl7cfN3HzgPmo6N15z4Zo+DvAwzaabUmA+KxNCjk7w8Hpg2TbJ2rV/ajhzj5eEXa5qTsZo1L68XszkyG3vTtj03vwC7zdrqB+pqgFsvz2fNihZb+zmX1nHuZfVJTwAymwyUDMpNuh/gQJ2bb/bYcXtT0KsbBZoPDEY6LQESOP+aNfwkNYLpl5Omqn/2UHplbZ+5c+GOO/x/my2Sv71azfBRrWPF4y2EPR6486o8VvyvZVt9ym+X8t83fhU0nC/RC8Lg/AxGD8hOeM0Xl1fjh/11KaXtR9KO0VEr2LTWzIY1FrZ+a+LAPiMH9huakwAtaZK0dMmQYo1ho3wMH+VjwuEeRo31IUTrpjDvvfYCuq5hMBr5w+zrOPuiyxPyvps4dEiu6v7VA+l1Gb4uF7z8csvjP15R107wQ2jlnaMRyhYL3PhALbfOFqz+zK9lv/3iaoTwImWLuQlISkZopa2BA3VuRg/ITsgPX9MlO2ucbK+uTynbfjjtGO02wcf/TWfpv9P5Zr0ZKTtW7z1ugcct2LLBwJYNLaG//QZq/GSGmxknT+Psi/wLv9/On7wWot/udVCQaUkZc6AivsRN+AshbgUuApoK69zQ2LQdIcQc4AJAAy6XUn4Q6/unp8NXX8EVV0jWbPRy+rmRNfuIRfilxQI3P2TjhosL2FBuAaYjpQVh8DT/0JPRDKYJj09n0247O6udjOyXHRdTkKZLKqxOdlQ7WVf+ZcrVvAn8/Dtqx/jDNyZe+UcWny1Jw+fr3GEuhAxYFFYCy4HpQBkAVXuNvPVCJm+9kMmhkzyc8YefMP+p19i4Jnmfi0+TbN5jZ3JxQcLvrUg88db8H5RS3h/4hBCiBDgLOBQYDCwVQoyRUsY8dz8nB554UrJ0gxVDhFaNWAnl9AyY95iN6y4o4NuNZcAyDIaPuGzOZEomTgJIevN4h8vH+l02stNNFBdmMiA3HWObqKCVK1eyfPlypk+fTllZWZfXrHP7qLQ1UGlr8AuXFK15Exhp1TbCJjf/KG68JJ8vP2m/KBqMktFjfYyb7OHQSV4GDdXoO0Ajr0A2lggv58ZL/OHABoOBMYc+RMWOS5rNQgCb1lrYtNbC8FHHc+mcMkomJq8sR02dhwqrUxV/6wUkw+xzCvCylNINbBNC/AAcjl89iguWIIpsqKacWIZfZmVL5v3NyhW/K2TPrjI0XxnPLNSYOK0mIZE+oVLn8rG50s63ex30y0mjb3Ya+Zlm1pZ/yYwZM/B4PFgsFpYtW9ZuAdB1id3lpbreQ5XD3a4CZ7J2OF19320/f4AVH61k/ReDeOjWr4BcmrR2gEMO8zDjZBfTf+lqlx3ehNEI33y9Aq/HA+jous733/yF+/4xHJ+vjCVvZ/DRe+nNu4jtP5i49oJCfnaciz9d42DA4OQ4wd/64CNqfljHsTN+EdICr+iexFv4/1kIcS5QDlwlpbQCQ4BVAcdUND7XDiHELGAWQHFxccwGFY72GWuhXNBHctcTNi7/bSGOWgO2aiM3XlzAQ/+qiUt7yWjQdMneWlezU/bV197F7fGgaxoej4fX3/2AfgeNR9MlLq9Gg1fD6fF1Wo4hGe0u237fl1w/rzkyC2iXZKX54NVnM3lzUT4ez7GAB7AASznq+MmcfVE9o8aGloQ2YeqRGIwGNF9LLsjGtSs4+6JS0tJXUth/JdX7fsHny6bT4PTvBj79MJ3yzyzMvsnBMf/nahUxFO+ggMDP6u677gy6wCt6BlEJfyHEUmBgkJduBB4H5gGy8f8HgPOBYMbSoKqTlPJJ4EnwR/tEM9ZAwtU+IxXKHf1Qi4Zr3P6IjWsvLMDrEezaZuLWK/K5+ykrlhj0YYmXgDh0ShlmsxkvYDKbKS6ZyvYD9WFdIxk7nFb1cjySR+6Yg9RlUMdudu4R3Dsnj283moFP8At+DfDw63Pf45LrDgrr3iUTS5l90/zGe+qYLZYgRd4e4Ib7X+eTD37Osn/7ne4NTgP33pBH+ecWLp/rICsnMSaz1p+Vh+XLlyvh30OJSvhLKY8J5TghxFPAfxofVgBDA14uAiqjGUe4JEL77OqHOm6Kl2vvquXOq/2x1RvKLTx4Sy7X3mVvFxsejjCPp4CIleDuaDGN1aLV9jqB37cQAl3XkbrezrH74t9Xs/aLE/G4m76A6QhhAeHBYjFz9PGRCcGTZp7DiNFjW43ppacWtlJAdvzwOdffPYWTZzbwwM25VGz3/zT/924G33xt5vZHbQkxmQV+ViazmWk/+WlMr69IHeIZ7TNISrmn8eFpwMbGv98BXhRCLMDv8B0NfBmvcQQjEdpnKD/U6b90s6/SwdML/BnIS9/JYOQYHzP/2BKZFK4wj7eAiJdpKlaLVkfXafq+c/MLePzuue0Sq5AWvvjkeJo2piaT5Nw/j2Pc5FfZ+FX08yTUIm/jpnj52+Ia/nZPDv993b8L2LPLxBW/K+TcS4/CbFkQV6Wl7W8ju/hQf12hVGpYrYgJ8bT53yuEmIjfpLMd+BOAlHKTEGIxsBnwAZfFI9KnK+JtXw91d3Hm+U4qdpiaf+hPPZBN8UE+jjjKX243XGHe9r65+QW89NTCpDuRuyJWi1ZH1wn8vgO18J3bjPz93jXU2X9Bk0P3oEO8XDffzogxPqCU8VNi/7l1poBkZEmuut1O6ZFuHpibS4PTgLPOwJMPHMevz/k3ufkfRfx9hrK7Cvysap1edlQ7Gd43K7I3qkhZ4ib8pZTndPLancCd8bp3smn6gV1y/Tx+2Lyh02OFgNk32dm11cimtRakFNx1TR6PvFRD8UgtbBNVoFCpc9TyyB1z0HUdi8WSMmGVwYiVKS6U6zQJtyVvp7Pwtly83hOaXzv9vHou+Esd5hj4XrqiKwXk6BPcFA23MveyfKr2GtE1wWvPHsN5f57G2Anh+Vog8t3V1gN19M1JI1u1fuxR9OjyDtB1A/dYE06maCDWAwYu+00hVXv95xQN97HwxRpy8mREtvDN68q58rxT0Xz+qBSDwcAfLr8+4SUDwiFeNv+2aBo881A2i59p0WYzs3WuvsPOz45NvR4C1VUGbr4sn+82tWQIn3VRPedfUddp7aC2vPTUQp5deE9EJSRy0k0cPqJQmX+6Ib2uvEOyCCVTNBgFfXVuf9TGX35fiNslqNhu4q5r8rjjb7YuNcTN68qbW0SOKhmP3WZlf2UFutYScykMhqQkjoVDrExxnV2noV5w17V5rFrekvwxfJSPWxfaGDIsdXoEB9Knn84Dz9Vwy+X5fNVYJPDlp7LwuuFP14a2AGxeV87+ygq/QqKFv7vyt36s56B+2ZG+DUWKoYR/jOksU7SrH9uosT6uuauWO670RwCVf57GUwuyufjaug7P2byunKv/+OvGRCI//qYyJkxmEz6fD4PBwOyb5qesySdR2G2Cmy7N55v1LTadadPdzLm3lsys6HbA8Y6/T8+AeY/amPfXfFZ97F8AXl+UhdkCF/y14/nRNLbA3eiJp/+OY085M+xxbj9QT9/sNPIyum9PaEULSvjHmGCZouEIhaOPd7Pt4jpeeGIDsJzXn5vOiNElHH9a8OqX61evwOdtXQ7A31RG48TTf0f/wUUddo3qTVRXGbj+ony2f98iuM48v57z/1KHMco6Zp0lkcXyc7ak+WtE3XVNHp8t9VeJffnpLLJzdX5zQce1qwJ3o2jQf3BRq4Yyoc4Jf+vHWo4Y0add2Q9F90MJ/zjQ1uwQrgAo/cnHvPTkTHTdn1n64C1LGTrikKA1XyZMPRKT2dxK829qKhOo3aVqTZ1EsKfCwPUXFlC5q2W6//lGO6f8tiEm1+8oiSwen7PZAjfeX8ttfxHNpqunF+SQkyc58Yzg76cjJ3gkc8Lp9pfiPnhgTqfHKVIfJfyJ/5Y9XDasWUFgZqmmfcytlx/Bo6/U0H9Q69oJJRNLuf+fb7Sz+bd9L8msGppMtv9g5LoLC6ip8qv3BqPk2rvszDi59U4qmjnQURJZvD5nkxluesBfJfbr1X4T1sO35ZBfqHPkL9o7rDsKK410TuyqcdI320Kf7OQ2AlJER68X/pFoP9EuFl2d3yxMPKDr/hLQ1mojt8zOZ8GiGjLaFFwMxVGajJo6yWbL1yZuuLgAR62/Zo7ZIpm7wEbZzz2tjot2V9RRElk8P+e0dLj9URvX/LGA7zeXo+vLufOqo3nohYMZXdK+7lCwORLKnOhorm7eY2fayD4JbwKkiB29Qvh3JmzD1X6iFRShnB8oTDKzj+Lxu6eh+eCHb8zcd0MeNy2oDbtEdSpVDY2UcBbdtavM3DI7v7lYWkamzrzHbEw4vL3pLBa7oo6SyOL5OWdlS86b/SE3XToTpAePx8L1sz7k768fTN8BXVcE7WpOdDZX3V6dLXscjC/Ki8t7U8SfHi/8V61c2amwDVcjjlZQhHp+oDAxmxw8eGsuAJ8uWcu1F3zA+VdMbb5eqEKm6Zqb15V3i6zfQMJZdFf8L407rsrD6/E7JXPzde76u5WDxwWvxBnrXVG8s8cD2frtCoTw4E+Sd2O3zuPqP97E468eTEYIEUydjbWrubrP7qKPzcLgfNX6sTvS44X/J5983OkEDlcjjlZQRHL+iTMb2P6DkTf/9TUwg/VferjyXCMGY/gNv7ur4zfURXPJ2+ncPzcXXfML/r4DNO5+0sqwIC08m+jOu6IJU4/EYjHjdkuQOrCU3Ts+Ze6f3+O+Z8aGlQQW7NpdzdVv9znIzzSTaenxoqTH0eO/saOOOjrkdP9QiFZQRHr+n66p48tPl7J7h98RrGk6mgbQdQJZIIl0/MbSkR6KIHrrhQweuyu3+fHgYh/3PG1l4JDQTCDdSegHfrb3/uM1Fj12P2tWftK4AHhY/+VKXv3nFM48P7L2pRDaXNU0ycbddkqHFWBQ4Z/dil5R3uGJxe93S62uLWtWlDNn1kyk9ABGQGAw+CLT/BsdkvHS/GNZpbOrnAkp4V+PZ7HosZbs05FjvMx/0kZhv44Ff6pFeYVKsM8W4NoLzsDt9oK04G8TOo35T9qYXObp/IIxYHjfTEb1V+GfqUivLu/Q3bS6jphyZCk33v86996wFo/75wAU9F3GdfMnJWznEiqx2GEEE3Jta9HoOjxxTzZv/qulTk/JRA93/M1GTp5sd73AhaQ7mr8g+Gd79kWXc+8/XuOrlSv45MPj2fZdGboOd16dx99erY57S8jtB5wUZKrwz+5ErxD+8SIZmuPRJ0wmr+AIrp9VgOYTVO8v441Fbg4rtWEM8dtMxGIYCydqVwuI5oMFt+Ty4VstDscpR7q55WFbu3DYtgvJsf93ZofXTvUdQUefbdP3+sszDFw6U6Om6kvstuXcePFPeOL1gzE1JjfH6/1tqrRz+IhC0s1RpkwrEoIS/hGSTMfpxCO8zL7RwUO3+e3bqz5O46Hbc7nytvZdwJJFKGGEXQmgzhYQjxvuujaPzxvLHAD87DgX199TG7QVZtuFBIgo6zUVFoauPts+/XTOuXQpD992GuBhx48W7rvxP8y599B2dX6OP/WsiOr8BMPj09lUWcvk4gJV/bMboIR/hCQ7Y/akMxvYW2nk5af85o7/vp5Bn34af5gdfp33rohU4HW0wwh14exIyDXUC265PI+1q1pMDCec3sBfbrF3WKen7UJy7ClncuwpZ4aV9ZpKkVJd7d4ctZ8EhIB6+N+7XzDjV5P4cUvL+9M9Gu+++jxL3lkcs/dirffyY1U9o11p/IgAACAASURBVPqr6p+pjhL+EZIKGbPnX1FH9X4DS972mz1eeCKbPv11fvWb2NSsgfgIvLa1cBY9dj/nXnZ1h2aXwPvVWgU3XVLAlg0tBdpm/rGei67qvLRxRwtJOFmvyV7ww2HC1COxpJlxuwD8WeL3zsnjytt/gtlixuPWkVI2lhv3xvS9bD9QT16GmX45vcP+v3LlSpYvX8706dO7VbN7JfwjJBViw4WAK2+zY6s2sPoz/w/t0TtyKOij89NjYtOUJB4Cr0nAejwSqeusWfkx6778jNk3zWfE6LEdLjb7Kg3MmVXArm0t0/aPVzg4+yJnSOauUHwdnX2vqbDgh0rT+/ji4xX859VfYreWUWuF1xcdw/ynXuN//17MB2+9HHK58XDZVFnL4SMKe3z8/8qVK5kxYwYejweLxcKyZcu6zQLQK0I9I+3kZTBAuskIAryaxOuLb8REpDTUC67+Y0FzpyezWXLbozam/jT6EL9oQ0M7rA2zrrwxNv1jf6wmYDSZ+OWvf8t7r73QrtvU9h+MzJlVwIF9fruOEJLZNzn41Vmx2+VE835SmfWrzVx7fgG67l8hz7m0jnMvq4/7e8lK83f/6snln+fPn8/cuXPRNA2j0ci8efOYM2dOsofVio5CPaMS/kKImcCtwFjgcCllecBrc4AL8JemvFxK+UHj81OAZ4EM4D3gChnCIBIl/DPTjAzJz6BvdhqZFmMrx5VX06lt8HKgzs0+uzulFgNrteAvvy+kcqdf07KkSe74m5VJ09rXsgmFUOLrQ7lGV87Ttq0mTzzj9yx5Z3GrxUbKMuZemo/D3ligzSy5/p5ajjo+9VouJpJwhPfzf2vJgxBCsuA5K+OmhDY32t4nnPv2z03jsKL80N5QN6Q7aP7xEv5jAR34O3B1k/AXQpQALwGHA4OBpcAYKaUmhPgSuAJYhV/4L5RSvt/VveIt/NPMBsYMyGFAbnqXxwLoumSP3cX2A/U0eOLT/i9czWzvbgNXnVfI/j1+7Tg9Q3LnE1YOKw1vAYiVnT+UnrHvvvp8Y/17HXNjk3loWWwO7PsJ996Qh9vlX4Qzs3RuXWiLeFHrKYT7HWkaXH9hAeu+9IdCDRyi8cQb1WRld/77D9ao5vG754Y1N0b0y+rR7R9T3eYflyQvKeU3jRdv+9IpwMtSSjewTQjxA3C4EGI7kCulXNl43iLgVKBL4R9PBualc8jAHExhlKc1GARD8jMYlJvOLquTrVX1aHrsTGiRCOCBQ3Tue8bKVX/wm0dcDYIbLy7g1oU2phzZvoxxrCqddkQoNvKTZp4TtArm2AmlvPBEFs892iI08vtozP+7jVFjgxdo602E+x0ZjXDt/FpmndaHOruBvbuNPHFPDlfNs4d1n08/fDfsubGtqp4si4mBeaEpVt2NsrKylBT6XRGvYtxDgF0BjysanxvS+Hfb54MihJglhCgXQpRXVUVmt++KUf2zGTckLyzBH4jBIBjWJ4uyg/pQkBW73qatf3T+aIxQGFyscd8zVgr7+ncjrgbB3Evz+XRJS+RF08Ly7MJ7uPaCM9i8rvWOqkloG4zGsJ2BTRVDN68rb3Y6/mH2dZ0uXiUTSzn7ostbygW74K5r8loJ/iHDfDz0vDWpgj/wvSWbSL6jfgN1Zt/kaH783zcy+HxZ5xE5be/zs+NOimhubN5Ti80Z/zITPQ23T8Onxce83KXmL4RYCgwM8tKNUsq3OzotyHOyk+eDIqV8EngS/GafLoYaNocMyqGoILPrA0Mg3WxkcnEB26udbK2qI1o/ejSRJUXDNe5/1sp1FxZQtdeI1yuY99fN/GTGB8z84+Fdao3hRjI17SKaG5m02a2Es2uorjJw6+z8VqGck6a5mbugtl25hkSSSjH+EHm02S9OcrHyozSWv+/Xwh+8JZeSCdUU9A0uYILdJ5J+BboO63bZmDq8kKy0nh0BFCmaLrE5PdgavNQ2eHG4fHh9OhOL8+kbh7IZXX4LUspjIrhuBTA04HERUNn4fFGQ5xPOQf2zYyb4mxBCMKJvFjnpJjbursWnRS6sog0lHTpC46Hna7juogIqtq9GymP4bKmHlR9Z+PONt3e4sASag9ra54MRKBSFIboWhuu/NHPXNXnUHGjJ1Dr5N04um+NoLk2QLFIxxr+zhbUzs97sm+xs/MrMgX1Gaq0GFtycy+2P2ToMl226T2AfiFDmRlt8mmTtThulwwt6TAmIaO39Lq9GlcNNVZ0bm9ODnsAYkngtwe8ALwohFuB3+I4Gvmx0+DqEENOAL4BzgUfiNIYOGZyfwYi+WV0fGCF9s9OYOryQdbtsUTmDo63B03+wzoJFNVx8+jJqqppKQXt4818N3P7oa3y7sbVwiES7DRSKAgMGgwEpRFi7FU2Dl5/KYtFjWc3hiAaD5JLrHZzy24aIS1bEKpRx87py9ldWYDQZQUv9GP+uvsfcfMk1d9q57sICwF8e5P3XMjhxZsdhs7Ha+bi8Gl/ttFI6rBCLqXu3gIw00ser6eyzu9hb68LmTF7gQlTCXwhxGn7h3Q94VwixTkp5vJRykxBiMbAZ8AGXSX+eOcAltIR6vk+Cnb3Z6SYOGRj/0rNZaSZKhxewdqeNOlfy7NQFfSTXzp/EDbMs6LoHsLBz6zH8bf5UbnzgCEaMblmcItFu25qnLrl+XtAG8h2xp8LAgrl5zVEoAHkFOnPurW3npA6HWJaUDqyFc+Lpv4tZLZx4Ecr3OLnMw2m/r2+uhvr4PdlMONzDkGH++dB24Yzlzsfp1li708rkYQXdugfw8uXL8Xg8aJqGx+Nh+fLlnQr/WqeXXVYnVQ53TINDIiXaaJ83gTc7eO1O4M4gz5cD46K5b6QYDYLxQ/IS1nQizWRkyrAC1u2yUdvBCp+IpKEpZaXc/9yrPPNQORvXHAeUseNHuOzMPsy6ukW7jsTPEKl5StfhP69k8NQD2bgaWgTA+FIPN9xbG1IP2s6IlbAKvA4a9B9clNKCH0L/Hi/4ax1rVqSxc6sJV4OBe+bk8uAiK99ubL9wxjq72eHysXanjUnF+d12AZg+fToWi6VZ858+fXq7Y6SU7LO72VnjxN6QWuHJvcrzMrJfVsKdTWajgUlD81m3y9Zui5dIJ+L4yaU8uKiUD99KZ+E8idsl8HoEj92Vy5efpPHnGx1hCfLO6u90xXebTDx+dw4bv2rR9g0GyVkX1nPuZfUhl6bujFgJq+5U0gFavpdQdmBp6XD9PbXMPrsQzSf4Zr2FV57JRIiO+wXEUlGxN3j5akf33QGUlZWxbNmyoDZ/TZdU2hrYUe3E5Y1PHlC09JryDrkZZqYOT16pWZ+ms7bNDiCUJKh4sONHI3ddk8fWb1u8qGaLZOYf6jnrovp2tfDbEmnZ4wP7DDzzcDZL30lHypbvoXikj2vurOWQw6I3j8UiM7mza6ay1h+pMvHik5n882G/KdRkklx5+wc8fPtpce/21kRWmolJxfk9wgn86Wef8+//LmX4+KmMGT8lJteMNtqnV3fyAjh4YE5Sa4ybjAYmDs3nqx1WHI0+gGRplcMO0njk5RqeeSibNxZlIqV/F/Dik9n8980Mfn2Ok5PPbCArJ7hi0Koqp1tnyduLO3UaZ+UcwWvPZrH0nXR8vpbvwGiSzPyDk3MurcMSg0i2UDp/RUIoOxshINNiItNiJN1sxGgQCOHf9nt8EpdPo97tw+2NXzhHpKau35zvZNXyNL5Zb8HnE7z67AzufOI1Nq9LzIJX7/ZRvt3KxOJ8srtpGKhP03nnw+X89tcnpUw4cFd0z086TAbmpZOXkeRYQRpNQMUFlO+owenWms0sS95enPCxWCxw8bV1/PyXLh69M7c5rr6mysjTC3J48e9ZnPDrBo7+pZtDxnsxBOzKJ0w9EqPJiO7RkFLywVsvNztBWy8McM+cr6jceVK7+0+b7uZP1zgoGh67LXGiwzEz04z0z0mnT5aFvAxzSL4kl1fD6vRQ5XBTXeeJqeMvUmXCaIJr77Jz8el9cLsE274zU/7ZdC74a+IEl8urUb69hvFD8rpVK0hNl+yqcbKjxsm7Hy5LuXDgzujxwt8gSKnGEhaTgcnFBazeXtOsBS55ZzFejzemTTVC5eDxPh5+sYYP307nnw9nU1Pl33o76w288XwWbzyfRd8BGof/zM3oQ30cdIiXouFTOfaUs3j/teeRUqJpGp9+uJJa65Hs2vYLJA8CHqS0ULmzdZpIyUQP5/25Puqm4sFMMYnYSRmNgkF56QzJzyAnPXyFIt1sZFBeBoPyMvBpOntqXeyyOnG6o18Eo8kNKRquceGVDh67y98dbvEzmUyb7ubQSYlzUvo0ybpdNkb1z2ZYn/iFYscCTZfstjawvboeT2OBx+7mH+rxNv9Upc7to3x7Dc8/8XBS7P5NBArRUSWlLPt3Oq/+M6tVzfzgrARmAP7wUVgGlAW8thyY3vxc2c9dnHm+k3GToxcmndm2o6lA2Rkmo7+MR1FBRsydk1JK9jvc/Li/DmecigSGgq7DdRfms+4Lv+Y9uNjHE69Xd+kDaiKWvpF+OWmMHZSbcrkAwYR+IPHwDymbfw8jO83EhKJ8NhyePG0hmBD95emlHH+aizWfW/jkw3RW/C8Nuy3YD7AMv8Bfjl/IA8ynReCXMeZQL9N/6eDo4130HxyerTucwnNL3l4cNPIoFtFUBgMUF2YyvE9WxPWfukIIwYDcdPplp8WlSGCoGAxwzR12LjqtD846A5U7TTy9IKdVPaCOiHXkWpXDjd1VzSEDc1OiI5hP09llbWBXjTOo0G8i2sTMRKKEfxIpyLIw88QZyCR1BOvIRm4wwNSfeZj6Mw9/uQU2rDGzZYOZH7eY+fFbE9X7DbicAl33C3mLZQUe7zEgPRiNFn5/yVscd8qksAV+E10JksDttdFo9Hek8mntjo3WB9A3J42DB+SQYUlMFEpTkcABuelsqrRjrU98IbT+g3Uuvd7B/TflAfDOS5n8ZIa7SzNdPPwtbq/O+l02BuSmM3pAdlKigVxejQqrk13WBrQoyrWkIkr4J5mBeemcfOzRSdEWurJRBmrfZ13YenxS+qtvSglvvfAuzy70oEsNiQej6WP6D54Q8bjCKTy3v7KiufNX22MjtcGaTQYOHpCTtBLE6WZ/cuDOaic/VDkSWu8F4LhTXXy+LI2VH/nf//035fLkm9Vk53Ys/OJp795nd3Gg3k1xYSbDCjPjtgMLxOb0UGFtYJ/d1a5IY3cJ/e0KJfxTgJH9snF6NPbWuhJ637YOQqC5cBfQqfYtBKT7+8bH/IcfyvUCi435O3+1PzYSB2jfnDTGDsohzZT8mPPiPpnkZZj5erctqhDRcIWVEPDXWx1sXmeh1mqgaq+Rx+bncN38jmv/R1uIsCs0TbKtqp5dNU6KCjIpKsiI+U7A5fX/BitrGzp0wKdadddoUA7fFEHXJWt2WjssAxFv2k7qY//vzKC9dDs7P5Y//HCuF4t7Gwwwql8OxX1iW+k1Fri8Ght210Y0N6IRVp9+mMbtf21pwXjLwzZ+ekxqtM4UAvpkpzEgN42+2WkRO+HtLi81dR6q6txdfr5Nfae/WvUJUtcTFqChHL49HINBcFhRHqu3WbtMB4/HtrOtqQUIS5vvytEV7pjDcZxF62RLNxsZX5SXErkgwWjqFbFxdy1VjvCEbzi2+Lbf0c+OczPj5AaW/ce/xXv4tlwOnXSAgj7JVxilhAMONwccboTwB1DkZZrJTjORaTFhMRkwNSfagU+XeH06DV4Np8eH3eXD3uANuex60yLqcXuQUsdgMHSLcM7OUMI/hUgzGZkwNI/y7dYOoz3ise0MVrL42FPO5NhTzoxZeYRU3SoXZFkYPyQv5UIK22JsVA6+2eOg0tZx6eW2hGqS6+g7uuwGB+tXWziwz4itxsDDt+Vyy8O1EZfZjgdS+gvFOeJYPbdpEZVSRxgMTJp2FOdednXKzONIUMI/xchJN3Po4Fy+rqgN+nqsoyq6Klkci8mdio1QAIYWZjJmQHZSy36EgxCCksG5mIyCndXOkM4J1Rbf0XeUkye58nY7N/zJX/v/82XpLH3HzZBhn/UIp2eotF1Eu7vgByX8U5L+uemM7Odja1V9u9di7VxNRMniVMt8FALGDMhhaGHq2fdDYcwAfxG2cBaAcPsyBH5HU3/q4eTfOPnPK/7P6+F5G5H6Gfi8qbeTixfxdmgnAyX8U5SR/bKpc/vYb29t4431JEyEYE7EDydUn4LRIBhflBeXnqiJZMyAHKSEXTWhLQBd0dV3NOuqOtassLBnlwl3wyeAF0itnVy8Cce31B3CQVW0Twqj6ZLV22vi3gmsO0zUzgjVp2AxGZhYnE9uBDV5UpVNlbXssUUfIhzKHNi4xsyV5xUg5SpgBkJ4sKT1Ds0/HAKdwwajgdk3zeekmedEfD0V7dMLMRoEE4fm88W2GrydpJRHS3dKSQ9GKD6FTIuRicX5ZFp61pQvGZSLV5McCDMKKJBQF89xU7zM/IOTxf/0l/YwGD/i6jsnUTJxchTvoOexfvWK5qggzafzyB1zGDF6bMr9xlI7xEFButnIhKK8ViWVFX42ryvnpacWkptfgNlixmA0BjVdZaebmDK8oMcJfvA7gccPySMvM/LdTOvF08v61Ss6PPa82XUMH+UDytB8N/Dm8zPQwtiYNn1nm9f13F38hKlHYgjIO5C63ulnmiyibeA+E7gVGAsc3tifFyHEcOAb4NvGQ1dJKS9ufG0KLQ3c3wOukN3F9pQk8jMtHDwwl28qO86w7G201VY7aluYn2lmwtDu2yc2FJrCQMu3W2mIoCpoOH4fSxpcd3ctfz7L3/px8zoLi/+ZydkXde17SOWQ31hSMrGU2TfN55E75iB1HbPFkvQgh2BEqwptBH4N/D3Iaz9KKScGef5xYBawCr/wPwF4P8px9HiG5GdQ5/LFzMHXXWmyTe+vrGhl6rHbrO0yLftkWzisKB9jCE1WujtpJiMTh+azentNyIlLTYTrkB811sfvL67nuUf9fTIWPZrN5GkeDh7f+RYgVUN+48FJM89hxOixKe1Li0r4Sym/AUKOkxZCDAJypZQrGx8vAk5FCf+QGDMgm3qPj5q6xFd7TAXa5iQEJqW11az656YxbnBeSN21egpZaSbGD8lj3S5bu2JkXRGu3+fsi+r54uM0tmww4/OtYs6f/seND0xkSlnH10i1kN94k+q+tHgaQUcIIdYCduAmKeWnwBCgIuCYisbngiKEmIV/l0BxcXEch9o9aLLvrt5eE5POT92NtjkJJ57+O/oPLmqnWQ3KT6dkUG63Sd6KJX2y0xjVP5vv99XF9T5GE8y5t5ZZp32L23UsjloPN8yysGDRqxw6KbjA64mx8t2ZLoW/EGIpMDDISzdKKd/u4LQ9QLGUsrrRxv+WEOJQINivsUMdRUr5JPAk+EM9uxprb8Dc2Ah+9XZrXCOAUpG2mmNgJnITRYUZHDIwN0kjTA2G9cnC4fLFvUrs4GKNsp9/wPL3PYCGrnt47dkvOxT+kPracG+iS+EvpTymq2OCnOMG3I1/rxFC/AiMwa/pFwUcWgRUhnv93k6mxcSEojy+2mlNeK33ZNKV5jisTyajG7NfeztjB+VS5/bFPUfktN8fwScfWtA1fzvPLz45nh0/Ghl2UO/bmXY34hICIYToJ4QwNv49EhgNbJVS7gEcQohpwr8nPxfoaPeg6IT8TAslg/KSPYywiEWYX8nEUs6+6PJ2gn9Evywl+ANoigAyGeNr+iqZWMo9T71KXsFtwDK8niO58+o83IltTaGIgKiEvxDiNCFEBf6mre8KIT5ofOko4GshxHrgNeBiKWVN42uXAE8DPwA/opy9ETMwL52R/bISdr9ohHeTs/bZhfdw7QVnxDTOe/SAbA7qlx2z6/UUMi0mSgbF3wQ28YhS7nvmYixp0wDY9p2ZR+/MDdvpnCr0hlwEiD7a503gzSDPvw683sE55cC4aO6raGFkv2xcXj2sMr+REG2MdrzC/A4ZlENRQfcs0JYI+uemM7TQG/cQ4RFjfFxyvYOHb/MvNv99I4Mx47z86jfxnZexprfkIoDK8O0RjB2UQ9+c+BYqCycLNBhNztqOsnDDRQgYNyRPCf4QGN0/m5z0+Gc3nzSzgWP+r0XY/+2uHDat7V51lALnucfjYdFj9/fYHYAS/j2AphDQ/ChS/LsiWuHd5Kz9w+zrwtam2m7DDQYYX5SXtAbr3Q1DYyVTY5zt/0LAX26xM2qsvxWczye4/S95HNjffcRM0zwXBgNS1/lq1ScxN1OmCqqqZw/Cq+ms2WGNW4RHMqp/tt2G3//P1/jdr46lIMuSkPv3JPbWuti4O3iToFiyr9LApTP7YLf5hX7JRA/3/9OKuZt8ZaH06k3kbyFeVT27z5Ks6BKz0cCk4nwyLca4XL+jSJt40tbcVPX9WiX4I2RgXnpCdksDBuucc8kShLgLWMnmdRYemx96JFayHa4lE0s597KrsVgsCIMBIQS5+QWtxhev4IVEooR/DyPNZGTysAIy4rQAJJpAc1OaxcIJx8xI9pC6NYcMzIn73Ni8rpynHzwVuBmYAazk3cWZvPF8RkjnpoJgLZlYyiXXz8NgMKDrOo/fPbd5LNH4v5K9sAWihH8PJN1sZEoPWQBKJpby2L/e4tbbbmPZsmWUlZUle0jdGpPRwKGDc+PagL2l2bkGeIDlADxxTw6fLe3cfBFtYEEssdusSF0idb3VWCL1f6XKwtZEzytw3kNZuXIly5cvZ/r06SEJwKYF4KsdVpwRlPlNFfrlpPHz047DaDg+2UPpMeRnWhjeN4ttQXpEx4LAMhwmk5nBxT9h+/cgpWD+tXnc908rJRO8XZ6b7OJvHY0l0hpFqVbVVDl8uwErV65kxowZeDweLBZLWBqw26exdqct7mn+8WB430xG9VdZu/FASsnq7VbsDcGFcLQEOkSHDJvK5b8tpHKnX9fMK9BZsKiG4pHBlZJUaisay7E0By94vZjNLTkE9Q7B/r0GDuwzUlNlQNMEJpMkN19nYJHGiT/NYXBh7B2+Svh3A+bPn8/cuXPRNA2j0ci8efOYM2dOyOd7NZ2vK2xY6+PzQ481RoNg7KBcFcoZZ5weH19srUHTI5cBoQrH3TuMXP7bwuYIoL4DNBYsqmFQUS8qToX/81rx0UoER7P1OzNbvv4cu+0X+IskBMdolEycKFi9mojMdaqHbzdm+vTpWCyWZs1/+vTpYZ1vNhqYNLSAzXvsca/0GC0ZFiPji/J6VJP1VCXTYmJU/2y+3euI6Pxg2bBA0MVgyDCNeY/ZuO7CAlwNggP7jFx7QQEPLrLSd0DPXwCs1YLl76fzyQfHsmntiUi5Cr8z3APcCSyjZQFYid9PMh0oQ9P8Ej/Wfhol/LsBZWVlLFu2LCybf1sMBsG4IXlkWoxsjZOtN1r65aRRMji3R7dcTDWGFmZSVeeOqEFQWxv2krcXs+Sdxe1KIwTuDm579EhuuiQfr0ewt8LEtRcUcN8/rfTpF9sFIBVMR1LC1+Vm/vNKJp8tScPnW0WLUF+OX/D7neK5+f9j5JgpmMwr+GrVieiaB2GwkF/4IdYDP6WkJPbjU8K/m1BWVhaTSJeR/bLJSTezqbI27HZ/8cJoEIzqn83QQlWqIRmUDMpl1dbqsOdDW4co0M6hCbTbHdz84JHcekU+mk+wa5uJv55TwD1PW2NmAkp2fR5dh8+XpfHCE1n8uKVpB7uSFk3fQtGw+9mz24LUPZjMZuY9NpGSiVZeemoJX630LwpCeDjt9+8z97qpZIjYl29Rwr8X0i8njWkj+7Bxdy02Z3L9AHmZZkoG5ZKVpqZiskg3GxkzIIfNlfawzmsb9QL4Nf+A6JhgES5nX1TKnHtrueuaPHRNsGeXiSvPLeTup6wx6QOQrKgaTYPPlqTxryey2P59W7Plcpo0fYPBw3Gn7WbC1Ffb7U6CRRhlZ0PfOBStVb+4XkpTKOiOaidbD9QlvCmM0SgY1S+booKMXtluMdUYnJ9BlcNNlcMd1nltO3MFC4EMFi559PFuLBYb8670m4AO7DNy1XmF3LrQxrjJkSkkTaae3PyChIaLahp8/H46L/w9i51bW4vUtHTJsac0UDJhEg/f3npMwbqaJbLVpYr2UeD0+Ph2r4PqBDSGFwIG5WVwUP8s0kzdPwmtJ+H2aazaWhPz9qCd2d/XrjJz85/zcTX4/Twmk+SKW+yc8OvwAhOaTD0etweD0cDp5/2J7Jy8uApQzQf/ezedF5/MomJ7a6GfnqFzym8bOP28egr6yOYxRiLU41XbR2n+CjItJiYVF1Bd5+aH/XU44pATIAT0z0lnRL8sspWJJyVJMxk5ZGAOGypiW/ytSdA1+QACBd+kaV7ue8bK3MsKsNUY8PkED8zNY+u3JmZdXYcpwHrSmfBcv3oFHrcHKXU0n87rz/2dBc+91XxcLB3APi8s/Xc6Lz2ZReWu1nM5M0vn1N85+fW5TvIKWivWqda/WP0KFc30yU6jT3YaB+rc7KpxxmQnYDIKBudnUFSQQaZFTbdUZ0BuOvtz3eyzxy4kuCsH7CGH+Xj0lWpuviyfrd/5pf2b/8pi01oLc+6tpWi41uU1Jkw9EoPRgNa4a5G63mzrb3vuJdfPw26zkptfgN1mDXlB8Hrgw7cyePnpLPbubr1rzcrR+fU5Tk77vZOcvO5hTVG/RkU7+man0Tc7DZdXY5/dxYE6N7UN3pD9AmlmA4VZFvrlpNE3Kw2DQdn0uxMHD8zB6vTgiZH5JxQH7IDBOg/9y8o9N+Ty+VJ/ct93m8xcckYfZl3jwFEb/BqBGv3sm+bzyB1zkLqO2WJptvW3btAieeSOOeiajpQ6wmDAYrEEDUttGqOzXvDeqxm88XwmVXtbC/2cXJ3Tz3Ny6u+cZOVEJvSTFZaqhL+iQ9LNRob1yWJYxgXfcAAAFHhJREFUnyw0XeJwean3aDR4NLyaji4lAoHJKEgzGciwGMlNN5NuVrb87ozFZOCQgTl8HSPzT6j1ejKyJDc/WMvrz3l55qFsfD6Bq0Gw8PZchh10PEbTAtBarhFsN7Dgubc6jaARQqDrfsEPtCvaFni9Gx94nc1rj+bfr2RQ72ide5JXoHPGefX8328byMyKLkM6WWGpUQl/IcR9wK/wxzD9CPxRSmlrfG0OcAH+LIbLpZQfND4/BXgWyADeA66Q3cXr3IsxGgT5mRbyVSh+r6B/bjoD89wxyQgPJ4LFYICZf3QyuczD3dflsf0Hv4ja8eNRwP84aOwSfnP+VEomTualpxYGCSNt328i8P65+QU8fvdcPB6Pv1GLwRA0LNXtgltnr0PXT2x1rYI+GjP/6OTkMxvIiELoN9HVrmjzunKWL/6Kk44/JuYVbaPV/JcAc6SUPiHEPcAc4DohRAlwFnAoMBhYKoQYI/01Xh8HZgGr8Av/E4D3oxyHQqGIMU3mH7c3evNPuM7Ogw7x8djiap5/PJvXn83E6xVAGT9+U8Zd18D//uNmypFHYbYsCCmkM/D+I0aPbV4Immz+WdlHsGdXOlI+SFMilq7/vPn8fgM/ZcyhSznt94cz4fDg7yMS801nu6KmXYHP62XBvfNjXtI8ZqGeQojTgDOklL9r1PqRUs5vfO0D4FZgO/CRlPKQxufPBqZLKf/U1fVVqKdCkXiqHG7W77IldQx7dhn5+/3Zzb6AQHLyP2NI8TJ+fuI0jj91Ush291qrYMMaCxvKzZR/nhYQn9+6rs7YCR7Kfr6cF544pVPTTDTmm44WjZeeWsizC+9B1yMr6NhEIkI9zwdeafx7CH7NvomKxue8jX+3fT4oQohZ+HcJFBcXx3CoCoUiFPrlpDEoP509tuQVBBw0VOPWh2vZuMbJ4n9msvKjlkXAYfspW2w/ZcvX8PjdMLjYx4gxPvILdfLydTKyJF6P33fgqBXs3mli9w4j1fs78kuVkZl1BL842cWJZ1QzusTHS0993KXDOpqs4o52Rbn5BQiDwIAhooKOXdGl8BdCLAUGBnnpRinl243H3Aj4gBeaTgtyvOzk+aBIKZ8EngS/5t/VWBUKRew5eEAO1novLm/8mgKFYjIZN8XLuCm17NpWx5v/yuSTD9KptbZ2xFbuNDX3DQiH9AzJ1J+5+dmxLqYd7Wllzw/FYR3rJjSb15Xz+N1z0TUdo9HAQw89lHibv5TymM5eF0KcB5wMzAhw3FYAQwMOKwIqG58vCvK8QqFIUUxGA2MH5bB2Z3zMP+GaTIaO0Lh8roPL5jjY+JWZz5ams2GNme0/mNB8oYUVm0ySMeO8jJ/iZXyphwlTPaR30GI4FId1rMsytLTC1JFSUF1dHdX1ghFttM8JwHXA0VJKZ8BL7wAvCiEW4Hf4jga+lFJqQgiHEGIa8AVwLvBINGNQKBTxp092GkWFGVTUNMT82pGaTIwmmHC4lwmH+2sBeTyw7TsTu3eYsNsEW79dza5tnzG4+KcMHX44GVmSQUM1hhRrDByiYQxD+oXisI5lBm+rnUQcTD4Qvc3/USANWNJYnGuVlPJiKeUmIcRiYDN+c9BljZE+AJfQEur5PirSR6HoFozun0NNnSfmPaG7ingJVZu2WODgcT4OHudj87pynl7g3018vznxZZ3Dpe37DNxJnHHycTE3+UCUwl9KOaqT1+7E36Km7fPlwLho7qtQKBKP0SA4dHAe5TtqiGVmTkcmk2giaFKtWXpndPQ+m/5NLM6Py31VyySFQhEyeZlmhvXJiuoam9eV89JTC9m8riV0u2RiabsErdYCvCULNxSadhMGozEhZZ2jIZr3GQ2qvINCoQiLkX2zqK5zR1T9NRxtPpoImkTWxY+WWEcKhYoS/gqFIiya+kF/sa067CZAnZljOrN7RyLAU62Eckcka6FSwl+hUIRNVpqJ0f1z+HavI6zzOtJyu7J793SS8T6V8FcoFBExtDCTA3XusPo+dKTlhlLgrDuYcLoTSvgrFIqIKRmcyxdba8Kq/R9Myw2lwFk8yx73xsVFCX+FQhExaSYjJYNzWRdl9m+wHUGTQN5fWRHXsM1k1tRPJkr4KxSKqOibnUZxn0x2Vju7PrgTAncEgQLZaDJiNBnbNXJpWiiAqLT27pQTEEuU8FcoFFEzql821npPROGfwQgUyGhw4um/o//gomZhH7gwAGg+LWKtPVmhlsFIpPlJCX+FQhE1BoNgfFEeX2yrQdOiT/9tK5CPPeXMZmEY2MFLNjaakVJGrLWnSk5Aos1PSvgrFIqYkGkxceig3Jj0/u1MIAcuDEZjo+avaVFp7akQUppo85MS/gqFImb0z01naKGXXTXR2f+hY4HcdmGA6Gz+qUKizU9K+CsUipgyun82dpeXlStWxkUoB7OLd2eh30SizU9K+CsUiphiMAjqd22Oi/26p4dlJtL8pKp6KhSKmLPys0/xeTuvVBmsumdXJKsCZqyJ5L3HGqX5KxSKmDN9+nQsFgsejwdTEPt1pBp8tHbxVMjkTZXdixL+CoUi5pSVlbFs2TKWL1/O8PFT6TdyfKvXI41sicYunipCN1WSypTwVygUcaGsrIyysjKklKzdZaMmoABctLX6u3Mmb6oklSnhr1Ao4ooQgsOG5LF6u5V6tz8DuEmDX/L24oSNI1lCN9Z9CmKFkLFsxhlHSktLZXl58pwjCoUiOlxejdXba3A3ZuUmwwyTaJt/LN7jxOJ8+manRTwGIcQaKWW7m0YV7SOEuE8IsUUI8bUQ4k0hRH7j88OFEA1CiHWN/54IOGeKEGKDEOIHIcRCIYSIZgwKhaJ7kG42Mqm4AJPR/5NPRuROsF7B8SSVo5OiDfVcAoyTUh4GfAfMCXjtRynlxMZ/Fwc8/zgwCxjd+O+EKMegUCi6CdlpJiYNLcBoEN2qyXqkpPJ7jMrmL6X8MODhKuCMzo4XQgwCcqWUKxsfLwJOBd6PZhwKhaL7kJdpZsLQfGBqSti+40kw+77RKMjLMJOdZiLDbMRs9OvgPl3H5dWxu7zUNnhjUiCvM2Lp8D0feCXg8Qjx/+3dfYxc11nH8e9vZvbVm7W9sR1vYq/jvLTUjdI0XkIX2srIEXWiEhcqkKEiQVREgbaiQkVNZdRWRFVaIvgDibZyRZWCUtIXKEmLkEKtGhDaUJzETpzGJnYSiGs7SV3HXuLYa+8+/HHPRuNlZjfr2Zk7u/f3kUZ758yd2Weee/fZO+eeOVd6AjgF/HFE/BtwBXC4ap3Dqa0mSXeSfUpgaGhoHkM1szwNLOnk+jVLgZ/Nveg3+zzAhhuG2XjTz3FZfxcr+7rp76kwW2/3xGTwythZ/mce5kiqZ9biL+n7wOoaD22PiIfSOtuB88AD6bGjwFBEHJe0EfgHSW8Har3juv/eImIHsAOyE76zxWpmC8elfV28Y+0y9r74KhOT+fx5N/Okc6kEqy7p5oplPSxf0jmn55ZLYvXSblYv7WaySbmZtfhHxM0zPS7pDuD9wOZIQ4ci4ixwNi0/JukQ8BayI/01VU9fAxy5uNDNbKEbWNLJjUPLeeLFE5xvcjdHLc0Y+18pizXLe1mzvIfujnLDMZZKzRkT0+hony3AJ4HbIuJ0VftKSeW0fBXZid3nIuIoMCbpXWmUz+3AQ43EYGYL29LeDoavHJiXQjlX83lCtqNS4ppVfbz7mhVcs6ovl/czFw2N85d0EOgCjqemRyPiLkkfBP6ErCtoAvhMRHw3PWcYuB/oITvR+7F4E0F4nL/Z4nb2/ARPHj7JydPnWvp7G+3z76iUWDfQy9qBXspNOkpvRL1x/v6Sl5m1jcnJYP+xMY68+nreocyqUhbrLl3C2uU9VMrtO0FyveLv6R3MrG2USmLD5f0s6+3gwLGx3E4Ez6RSFkMDvQwN9LZ10Z+Ni7+ZtZ3Ll/WwrLeDHx05xast7gaqp1IWa1PR71jARX+Ki7+ZtaXezgob1y3n8InXOfTK/+YyGgigs1JiaCAbvbOQj/Snc/E3s7YlZUfbq/q7eP4nr/HjE6/TqtOUfd0VhgZ6Wd3f3bThlnly8TezttdVKfMzq/tZN7CEF46/xrGTZ5pyPqBcFpelL2Yt7e2Y99dvJy7+ZrZg9HSWedtgP9es6uPYyTMcO3Wm4aGhlbJY0dfFyku6WNHX1ZbDNZvBxd/MFpyOcom1aWz9mXMTnDg9zonXzjF25hynxyfqfioolaCno0JfV4X+ngrLejvp7559rp3FyMXfzBa07o4yg0t7GFza80bbuYlJzk1MvvFPoFwSlVKJzsriOWHbKBd/M1t0OsqlRTEcs5mcHTOzAnLxNzMrIBd/M7MCcvE3MysgF38zswJy8TczKyAXfzOzAnLxNzMrIBd/M7MCcvE3Myughoq/pHskPSlpj6RHJF1e9dinJB2UdEDS+6raN0p6Kj32FyrijEpmZjlr9Mj/voi4PiJuAL4HfBpA0gZgG/B2YAvwRUnl9JwvAXcC16bblgZjMDOzOWqo+EfEqaq7S4CpeVS3Ag9GxNmIeB44CNwkaRDoj4jRiAjgr4EPNBKDmdlMRkdHuffeexkdHc07lLbS8Kyekj4H3A6cBH4xNV8BPFq12uHUdi4tT2+v99p3kn1KYGhoqNFQzaxgRkdH2bx5M+Pj43R2drJz505GRkbyDqstzHrkL+n7kvbVuG0FiIjtEbEWeAD46NTTarxUzNBeU0TsiIjhiBheuXLl7O/GzKzKrl27GB8fZ2JigvHxcXbt2pV3SG1j1iP/iLj5Tb7W14F/BD5DdkS/tuqxNcCR1L6mRruZ2bzbtGkTnZ2dbxz5b9q0Ke+Q2kajo32urbp7G7A/LT8MbJPUJWk92YndH0bEUWBM0rvSKJ/bgYcaicHMrJ6RkRF27tzJPffc4y6faRrt8/+8pLcCk8B/A3cBRMTTkr4J/Ag4D3wkIibSc34PuB/oAf4p3czMmmJkZMRFvwZlg27a3/DwcOzevTvvMMzMFhRJj0XE8PR2f8PXzKyAXPzNzArIxd/MrIBc/M3MCsjF38ysgBbMaB9Jr5ANJ70YK4CfzGM488VxzV27xua45qZd44L2je1i41oXEf9vioQFU/wbIWl3raFOeXNcc9eusTmuuWnXuKB9Y5vvuNztY2ZWQC7+ZmYFVJTivyPvAOpwXHPXrrE5rrlp17igfWOb17gK0edvZmYXKsqRv5mZVXHxNzMroEVd/CVtkXRA0kFJd+ccy1pJP5D0jKSnJf1Bav+spB9L2pNut+YQ2wuSnkq/f3dqG5D0z5KeTT+Xtzimt1blZI+kU5I+nke+JH1V0suS9lW11c2PpE+lfe6ApPflENt9kvZLelLSdyQtS+1XSnq9KndfbnFcdbddq3JWJ65vVMX0gqQ9qb2V+apXH5q3n0XEorwBZeAQcBXQCewFNuQYzyBwY1q+BPgvYAPwWeATOefqBWDFtLY/Be5Oy3cDX8h5Wx4D1uWRL+C9wI3Avtnyk7bpXqALWJ/2wXKLY/sloJKWv1AV25XV6+WQs5rbrpU5qxXXtMf/DPh0DvmqVx+atp8t5iP/m4CDEfFcRIwDDwJb8womIo5GxONpeQx4hhkuXt8GtgJfS8tfAz6QYyybgUMRcbHf8G5IRPwr8NNpzfXysxV4MCLORsTzwEGyfbFlsUXEIxFxPt19lAsvndoSdXJWT8tyNlNc6eqCvw78bTN+90xmqA9N288Wc/G/Anix6v5h2qTYSroSeCfwH6npo+kj+ldb3b2SBPCIpMck3ZnaLovsspukn6tyiGvKNi78g8w7X1A/P+223/0OF14tb72kJyT9i6T35BBPrW3XLjl7D/BSRDxb1dbyfE2rD03bzxZz8VeNttzHtUrqA/4O+HhEnAK+BFwN3AAcJfvY2Wq/EBE3ArcAH5H03hxiqElSJ9n1ob+VmtohXzNpm/1O0nayy6g+kJqOAkMR8U7gD4GvS+pvYUj1tl275Ow3uPAgo+X5qlEf6q5ao21OOVvMxf8wsLbq/hrgSE6xACCpg2zDPhARfw8QES9FxERETAJfoYldBPVExJH082XgOymGlyQNprgHgZdbHVdyC/B4RLyUYsw9X0m9/LTFfifpDuD9wIcidRKnLoLjafkxsn7it7Qqphm2Xe45k1QBfhX4xlRbq/NVqz7QxP1sMRf//wSulbQ+HT1uAx7OK5jUn/hXwDMR8edV7YNVq/0KsG/6c5sc1xJJl0wtk50s3EeWqzvSancAD7UyrioXHI3lna8q9fLzMLBNUpek9cC1wA9bGZikLcAngdsi4nRV+0pJ5bR8VYrtuRbGVW/b5Z4z4GZgf0QcnmpoZb7q1QeauZ+14kx2XjfgVrKz5oeA7TnH8m6yj2VPAnvS7Vbgb4CnUvvDwGCL47qKbNTAXuDpqTwBlwI7gWfTz4EcctYLHAeWVrW1PF9k/3yOAufIjrg+PFN+gO1pnzsA3JJDbAfJ+oOn9rMvp3U/mLbxXuBx4JdbHFfdbdeqnNWKK7XfD9w1bd1W5qtefWjafubpHczMCmgxd/uYmVkdLv5mZgXk4m9mVkAu/mZmBeTib2ZWQC7+ZjVIWibp99Py5ZK+nXdMZvPJQz3Nakjzq3wvIq7LORSzpqjkHYBZm/o8cHWa2/1Z4G0RcZ2k3yabWbEMXEc2P00n8FvAWeDWiPippKuBvwRWAqeB342I/a1/G2a1udvHrLa7yaaRvgH4o2mPXQf8JtncNJ8DTkc2+dcocHtaZwfwsYjYCHwC+GJLojZ7k3zkbzZ3P4hszvUxSSeB76b2p4Dr08yMPw98K5uyBcguumHWNlz8zebubNXyZNX9SbK/qRLwavrUYNaW3O1jVtsY2eX05iyyedifl/RrkM3YKOkd8xmcWaNc/M1qiGwe939PF/q+7yJe4kPAhyVNzZaa2yVEzWrxUE8zswLykb+ZWQG5+JuZFZCLv5lZAbn4m5kVkIu/mVkBufibmRWQi7+ZWQH9H4EkZnRgmnmoAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot the first smoothed timeseries with intervals\n",
    "plt.plot(smoother.smooth_data[0], linewidth=3, color='blue')\n",
    "plt.plot(smoother.data[0], '.k')\n",
    "plt.xlabel('time')\n",
    "\n",
    "plt.fill_between(range(len(smoother.data[0])), low[0], up[0], alpha=0.3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "# operate smoothing\n",
    "smoother = BinnerSmoother(n_knots=6)\n",
    "smoother.smooth(data)\n",
    "\n",
    "# generate intervals\n",
    "low, up = smoother.get_intervals('prediction_interval')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PolyCollection at 0x1fc2ae00488>"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot the first smoothed timeseries with intervals\n",
    "plt.plot(smoother.smooth_data[0], linewidth=3, color='blue')\n",
    "plt.plot(smoother.data[0], '.k')\n",
    "plt.xlabel('time')\n",
    "\n",
    "plt.fill_between(range(len(smoother.data[0])), low[0], up[0], alpha=0.3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "# operate smoothing\n",
    "smoother = LowessSmoother(smooth_fraction=0.2, iterations=1)\n",
    "smoother.smooth(data)\n",
    "\n",
    "# generate intervals\n",
    "low, up = smoother.get_intervals('prediction_interval')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PolyCollection at 0x1fc2ae7e3c8>"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot the first smoothed timeseries with intervals\n",
    "plt.plot(smoother.smooth_data[0], linewidth=3, color='blue')\n",
    "plt.plot(smoother.data[0], '.k')\n",
    "plt.xlabel('time')\n",
    "\n",
    "plt.fill_between(range(len(smoother.data[0])), low[0], up[0], alpha=0.3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "# operate smoothing\n",
    "smoother = KalmanSmoother(component='level_trend', \n",
    "                          component_noise={'level':0.1, 'trend':0.1})\n",
    "smoother.smooth(data)\n",
    "\n",
    "# generate intervals\n",
    "low, up = smoother.get_intervals('kalman_interval')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PolyCollection at 0x1fc2aeff4c8>"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot the first smoothed timeseries with intervals\n",
    "plt.plot(smoother.smooth_data[0], linewidth=3, color='blue')\n",
    "plt.plot(smoother.data[0], '.k')\n",
    "plt.xlabel('time')\n",
    "\n",
    "plt.fill_between(range(len(smoother.data[0])), low[0], up[0], alpha=0.3)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python [conda env:prova]",
   "language": "python",
   "name": "conda-env-prova-py"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
